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Geometry 8-5a GeoGebra Primer: The Law of Sines

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Last updated almost 4 years ago
9 questions
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Familiarize yourself with the embedded GeoGebra applet before completing the items that follow.
Be sure to drag the vertices around and try the tool on a variety of triangles.
10
Question 1
1.

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Question 3
3.

Exploration: Classify each of the elements from the applet.

  • a
Question 4
4.

Exploration: The applet's slider has 4 positions. What happens when the slider is moved from its starting position to position 2 (one spot to the right)?

Question 5
5.

Exploration: What happens when the slider is moved from position 2 to position 3?

Question 6
6.

Exploration: What happens when the slider is moved from position 3 to position 4?

Question 7
7.

Extension: Make a conjecture based on what you observed in this applet about the relationship between angles of a triangle and the side lengths opposite from them.

Question 8
8.

Review: To what type(s) of triangles do the properties of SOH-CAH-TOA apply? Select all that apply.

Question 9
9.

Extension: To what type(s) of triangles do the properites of this exploration apply? Select all that apply.

Vocabulary: What is found in the top-left corner of the applet?
An extension ladder
A tax extension
An extended proportion
An extended triangle
Question 2
2.

Exploration: How are the numerators and denominators related to one another in these ratios? Hint: Consider the triangle.

b
c
CAB
ABC
BCA
Sin(CAB)
Sin(ABC)
Sin(BCA)
Trigonometric ratio
Side length
Angle